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Finding the Fourth Proportional to 191,720.56, 287,617.80 and 86,539.64

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Solution

The fourth proportional to 191,720.56, 287,617.80 and 86,539.64 is: 129,826.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,720.56 : 287,617.80 = 86,539.64 : x
  2. Step 2: Convert to fraction form
    191,720.56/287,617.80 = 86,539.64/x
  3. Step 3: Cross multiply
    191,720.56x = 287,617.80 × 86,539.64
  4. Step 4: Simplify right side
    191,720.56x = 24,890,340,869.59
  5. Step 5: Solve for x
    x = 24,890,340,869.59/191,720.56
  6. Step 6: Final answer
    x = 129,826.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.